The one-dimensional line scheme of a certain family of quantum \(\mathbb{P}^3\mathrm{s}\)

DOI10.1016/j.jalgebra.2015.04.036zbMath1348.14005arXiv1503.00754OpenAlexW2140785103MaRDI QIDQ2515615

Michaela Vancliff, Richard G. Chandler

Publication date: 5 August 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00754

zbMATH Keywords

quantum algebraline schemequantum \(\mathbb P^n\)

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Quadratic and Koszul algebras (16S37)

Related Items (8)

Flat families of point schemes for connected graded algebras ⋮ Graded Clifford algebras and graded skew Clifford algebras and their role in the classification of Artin-Schelter regular algebras ⋮ The quantum spaces of certain graded algebras related to \(\mathfrak{sl}(2, \Bbbk)\) ⋮ The one-dimensional line scheme of a family of quadratic quantum \(\mathbb{P}^3\)s ⋮ Unnamed Item ⋮ Exotic elliptic algebras of dimension 4. With an appendix by Derek Tomlin ⋮ Isomorphisms of graded skew Clifford algebras ⋮ A geometric invariant of 6-dimensional subspaces of 4×4 matrices

Cites Work

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• Central extensions of three dimensional Artin-Schelter regular algebras
• Corrigendum: Generalizations of graded Clifford algebras and of complete intersections
• The Interplay of Algebra and Geometry in the Setting of Regular Algebras
• SCHEMES OF LINE MODULES I
• The Geometry of Schemes
• SCHEMES OF LINE MODULES. II
• On Koszul algebras and a new construction of Artin-Schelter regular algebras

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